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Finding the Fourth Proportional to 30,548.60, 45,796.89 and 13,902.80

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Solution

The fourth proportional to 30,548.60, 45,796.89 and 13,902.80 is: 20,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.60 : 45,796.89 = 13,902.80 : x
  2. Step 2: Convert to fraction form
    30,548.60/45,796.89 = 13,902.80/x
  3. Step 3: Cross multiply
    30,548.60x = 45,796.89 × 13,902.80
  4. Step 4: Simplify right side
    30,548.60x = 636,705,002.29
  5. Step 5: Solve for x
    x = 636,705,002.29/30,548.60
  6. Step 6: Final answer
    x = 20,842.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.